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Table 1 Optimal number of latent classes: assessment statistics

From: Determining non-cigarette tobacco, alcohol, and substance use typologies across menthol and non-menthol smokers using latent class analysis

Model fit

Latent classes

Number of free parameters

LL

BIC

Sample size adjusted BIC

LMR p-value

VLMR LRT p-value

Entropy

1

7

−4353.9

8757.3

8735.1

-

-

-

2

15

−4024.9

8155.9

8108.2

<0.0001

<0.0001

0.80

3

23

−3989.1

8140.9

8067.8

<0.0001

<0.0001

0.91

4

31

−3977.9

8175.0

8076.5

0.17

0.18

0.87

5

39

−3967.9

8211.6

8087.7

0.43

0.44

0.83

Odds of correct classification

 
 

Class 1

Class 2

Class 3

Class 4

Class 5

  

1

      

2

12.5

22.8

     

3

12.0

8.1

54.6

    

4

3.0

8.6

4.1

40.7

   

5

3.2

4.1

11.2

4.0

24.0

  
  1. Note. LL log likelihood, BIC Bayesian information criteria, LMR Lo-Mendell-Rubin, VLMR Vuong-Lo-Mendell-Rubin, LRT likelihood ratio test for k (H0) versus k-1 classes. Odds of correct classification (OCC) > 5 indicates a model with good latent class separation (Collins & Lanza, p. 74); OCC = ∞ indicates perfect classification